Convergence Analysis of Sinc-Collocation Scheme With Composite Trigonometric Function for Fredholm Integral Equations of the Second Kind

Authors

  • Eno John

    Akwa Ibom State Polytechnic, Ikot Osurua
    Author

  • Promise Asukwo

    Federal Polytechnic, Ukana
    Author

  • Nkem Ogbonna

    Michael Okpara University of Agriculture, Umudike
    Author

DOI:

https://doi.org/10.4314/awh85w70

Keywords:

Fredholm integral equations of the second kind, Composite trigonometric function, Sinc approximation, Collocation method, Convergence analysis

Abstract

The paper discusses the convergence of Sinc collocation scheme for the solution of Fredholm integral equation of the second kind. A modified composite trigonometric function is employed as a variable transformation function for this procedure. We first show that the constructed variable transformation function decays exponentially and thus satisfies the conditions for the error bound associated with single exponential transformation functions. Next, the convergence analysis of the scheme showing exponential convergence is discussed. Finally, some numerical examples are presented to illustrate the efficiency and stability of the numerical scheme.

Author Biographies

  • Eno John, Akwa Ibom State Polytechnic, Ikot Osurua

    Department of General Studies

  • Promise Asukwo, Federal Polytechnic, Ukana

    Department of Statistics

  • Nkem Ogbonna, Michael Okpara University of Agriculture, Umudike

    Department of Mathematics

Published

2024-06-10

Issue

Vol. 11 No. 3 (2024): VOLUME 11 ISSUE 3

Section

Articles